For a student enrolling at freshman at certain university the probability is 0.25 that

Question

he/she will get scholarship and 0.75 that he/she will graduate. If the probability is
0.2 that he/she will get scholarship and will also graduate. What is the probability
that a student who get a scholarship graduate? �

Answer 1

Let A be the event that a student gets a scholarship and B be the event that a student graduates.

We know that P(A) = 0.25, P(B) = 0.75, and P(A and B) = 0.2.

The probability that a student who gets a scholarship graduates can be calculated using the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

Therefore, the probability that a student who gets a scholarship graduates is:

P(B|A) = 0.2 / 0.25 = 0.8

So, the probability that a student who gets a scholarship graduates is 0.8 or 80%.